Zrób to:
SELECT * FROM PERSON WHERE PSN_CREATED_DATE >= TO_TIMESTAMP(:createdPrior, 'yyyyMMddHH24missffff')
lub użyj parametru TimeStamp w C#, powinno być tak
OracleParameter para = new OracleParameter(":createdPrior", OracleDbType.TimeStamp, ParameterDirection.Input);
para.Value = (Oracle.DataAccess.Types.OracleTimeStamp)value;
command.Parameters.Add(para);